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Finding the Third Proportional to 1,141,214 and 2,409,732

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Solution

The third proportional to 1,141,214 and 2,409,732 is: 5,088,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,214 : 2,409,732 = 2,409,732 : x
  2. Step 2: Convert to fraction form
    1,141,214/2,409,732 = 2,409,732/x
  3. Step 3: Cross multiply
    1,141,214x = 2,409,732 × 2,409,732
  4. Step 4: Simplify right side
    1,141,214x = 5,806,808,311,824
  5. Step 5: Solve for x
    x = 5,806,808,311,824/1,141,214
  6. Step 6: Final answer
    x = 5,088,272.94

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.